Results 91 to 100 of about 214,617 (202)

Compressing totally geodesic surfaces [PDF]

, 2002
In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geodesic surface ...
Leininger, Christopher J., Christopher J. Leininger   +1 more
core   +1 more source

Reverse isoperimetric inequalities for Lagrangian intersection Floer theory

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley   +1 more source

Characterizations of Transversal Lightlike Submanifolds in Indefinite Golden Statistical Geometry

Mathematics
We investigate transversal and radical transversal lightlike submanifolds (TLSs) of indefinite golden statistical manifolds (IGSMs). Using the dual affine connections associated with statistical structures, we obtain decomposition formulas and derive ...
Md Aquib
doaj   +1 more source

Random 3-manifolds have no totally geodesic submanifolds

Annals of Global Analysis and Geometry
Abstract Murphy and the second author showed that a generic closed Riemannian manifold has no totally geodesic submanifolds, provided the ambient space is at least four dimensional. Lytchak and Petrunin established a similar result in dimension 3. For the higher dimensional result, the “generic set” is open and dense in the
El-Hasan, Hasan M., Wilhelm, Frederick
openaire   +3 more sources

Totally geodesic surfaces in hyperbolic 3-manifolds [PDF]

, 2007
textThis thesis investigates the topology and geometry of hyperbolic 3-manifolds containing totally geodesic surfaces. In chapter 2 we find algebraic invariants associated to several families of hyperbolic 3-manifolds with totally geodesic boundary ...
DeBlois, Jason Charles, 1978-
core   +1 more source

Minimality of totally geodesic submanifolds in Finsler geometry [PDF]

Mathematische Annalen, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Areas of totally geodesic surfaces of hyperbolic 3-orbifolds

, 2021
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental invariant of the topology of M via Mostow-Prasad Rigidity.
Miller, Nicholas, McReynolds, D.B., Linowitz, Benjamin   +2 more
core   +1 more source

Almost complex surfaces in the nearly Kaehler S6

International Journal of Mathematics and Mathematical Sciences, 1992
It is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3.
Sharief Deshmukh
doaj   +1 more source

A Berger type normal holonomy theorem for complex submanifolds [PDF]

, 2010
We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala, Console, S., Olmos, C., Di Scala, Antonio Jose', Sergio Console, Carlos Olmos   +5 more
core   +1 more source

Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms

Axioms
In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Yanlin Li, Meraj Ali Khan, MD Aquib, Ibrahim Al-Dayel, Maged Zakaria Youssef   +4 more
doaj   +1 more source